首页|Abelian Hearts of Twin Cotorsion Pairs on Extriangulated Categories
Abelian Hearts of Twin Cotorsion Pairs on Extriangulated Categories
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It was shown recently that the heart of a twin cotorsion pair on an extriangu-lated category is semi-abelian.In this article,we consider a special class of hearts of twin cotorsion pairs induced by d-cluster tilting subcategories in extriangulated categories.We give a necessary and sufficient condition for such hearts to be abelian.In particular,we can also see that such hearts are hereditary.As an application,this generalizes the work by Liu in the exact case,thereby providing new insights into the triangulated case.
Key Laboratory of Computing and Stochastic Mathematics(Ministry of Education)School of Mathematics and Statistics,Hunan Normal University Changsha 410081,China
School of Mathematics and Statistics Changsha University of Science and Technology,Changsha 410114,China
Hunan Provincial Natural Science Foundation of China
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维普
